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In mathematics, intersection cohomology is a theory from algebraic topology, initially developed by Goresky and MacPherson, to apply to spaces with singularities.

The cohomology groups of a topological manifold have an interesting symmetry called Poincaré duality. In particular,

where is the dimension of a closed, orientable manifold. Unfortunately, many interesting spaces have singularities; that is, places where the space does not look like . Intersection cohomology is a modified definition of cohomology which recovers the property of Poincaré duality for a much larger category of spaces, Witt space s; this includes all algebraic varieties.

Algebraic geometry Algebraic topology

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Topics: Intersection Cohomology, Intersection (set Theory)...

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Intersection (aviation)

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